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Analysis of shear banding in twelve materials

Analysis of shear banding in twelve materials,10.1016/0749-6419(92)90058-K,International Journal of Plasticity,R. C. BATRA,C. H. KIM

Analysis of shear banding in twelve materials   (Citations: 49)
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The problem of the initiation and growth of shear bands in 12 different materials, namely, OFHC copper, Cartridge brass, Nickel 200, Armco IF (interstitial free) iron, Carpen- ter electric iron, 1006 steel, 2024-T351 aluminum, 7039 aluminum, low alloy steel, S-7 tool steel, Tungsten alloy, and Depleted Uranium (DU -0.75 Ti) is studied with the objectives of find- ing out when a shear band initiates, and upon what parameters does the band width depend. The nonlinear coupled partial differential equations governing the overall simple shearing de- formations of a thermally softening viscoplastic block are analyzed. It is assumed that the ther- momechanical response of these materials can be adequately represented by the Johnson-Cook law, and the only inhomogeneity present in the block is the variation in its thickness. The ef- fect of the defect size on the initiation and subsequent growth of the band is also studied. It is found that, for each one of these 12 materials, the deformation has become nonhomogeneous by the time the maximum shear stress occurs. Also the band width, computed when the shear stress has dropped to 85% of its peak value, does not correlate well with the thermal conduc- tivity of the material. The band begins to grow rapidly when the shear stress has dropped to 90°/0 of its maximum value.
Journal: International Journal of Plasticity - INT J PLASTICITY , vol. 8, no. 4, pp. 425-452, 1992
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    • ...This differs from the ASB initiation criterion proposed by Batra and Kim [35]: an ASB initiates at a point when the shear stress there has B.M...

    B. M. Loveet al. Effect of particulate/matrix debonding on the formation of adiabatic s...

    • ...Batra and Kim (1992) investigated the occurrence and development of adiabatic shear bands in different materials...

    H. M. Wenet al. Transition of Plugging Failure Modes for Ductile Metal Plates Under Im...

    • ...Batra and Kim [55] used the stress drop s=smax ¼ ^...
    • ...K. For the criterion used by Grady [50], ec ¼ 0.15, and we get ^ K ¼ 0:89. In Batra and Kim [55], values of ^...

    Z. G. Weiet al. Damage model for anisotropic materials, and its application to analysi...

    • ...When the composite was replaced by an equivalent homogenized medium the criterion to delineate the initiation of localization of deformation proposed for a homogeneous material (e.g., see Batra and Kim (1992), Batra and Lear (2005)) could be used...

    B. M. Loveet al. Determination of effective thermomechanical parameters of a mixture of...

    • ...Furthermore, Batra (1987a) has characterized the effect of different material parameters on the initiation and development of SBs; Batra and Kim (1992), and Batra and Lear (2005) have ranked different materials according to their susceptibility to shear banding...
    • ...Values of other parameters, taken either from Johnson and Cook (1983) or Batra and Kim (1992), are listed in Table 1. Thus the reference temperature h0 ¼ �A=ð�q�cÞ equals 122 K. That is, values of temperature rise in K equal 122 times the non-dimensional values reported below...
    • ...Batra and Kim (1992) numerically studied simple shearing deformations of twelve materials under thermally insulated boundary conditions but a geometric defect introduced at the block center to initiate a SB. They postulated that a SB initiates at a point when the shear stress there has dropped to 80% of its maximum value at that point and the material point is deforming plastically...
    • ...For thermally insulated boundaries, Batra and Kim (1992) plotted the localization ratio for twelve materials...
    • ...As vividly shown in Fig. 8 of Batra and Kim (1992) the computed band width varies with the localization ratio, and the half band width does not equal the distance from the center to the farthest point where the SB has initiated...

    R. C. Batraet al. Shear bands due to heat flux prescribed at boundaries

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